Lines AB and CD are parallel. If the measure of angle W equals 124 degrees, what is the measure of angle X?

Answer:

Step-by-step explanation:

Since we have the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse

That's

where

h is the hypotenuse

From the question

The legs of the right angled triangle are 89cm and 38 cm

So the hypotenuse is

h = 96.7729

We have the final answer as

96.8 cm to the nearest tenth

Hope this helps you

Answer:

$126.00

Step-by-step explanation:

The Hershey bars were purchased for $6 per dozen. There are 12 bars per dozen. First, find the cost per bar.

cost / bar

$6 / 12 bars

$0.50 / bar

Next, find the profit on one bar. The bars costs $0.50 each and are being sold for $1.25. The profit will be the difference between the two numbers.

$1.25 - $0.50

$0.75

Finally, find the profit on 14 dozen bars.

There are 168 bars in 14 dozen. ( 12 per dozen, 14 dozen, 12*14= 168).

Multiply the profit of one bar ($0.75) by 168.

168 *$ 0.75

$126

The profit on 14 dozen Hershey bars is $126.00

Answer:

[tex]\large\boxed{x=14}[/tex]

Step-by-step explanation:

Because the angles are adjacent to each other and form a straight line, they are supplementary angles. Supplementary angles add up to 180 degrees, therefore, you can add the two angle measures together and set them equal to 180.

(7x - 1) + (6x - 1) = 180 combine like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide by 13 on both sides

[tex]\boxed{x=14}[/tex]

Answer:

Step-by-step explanation:

Since the two angles lie on a straight line the sum of their angles is equal to 180°.

To find x add up the two angles and equate it to 180° and solve for x

That's

7x - 1 + 6x - 1 = 180

13x - 2 = 180°

Move 2 to the right side of the equation

That's

13x = 180 + 2

13x = 182

Divide both sides by 13

That's

[tex] \frac{13x}{13} = \frac{182}{13} [/tex]

We have the final answer as

Hope this helps you

Answer:

yes

Step-by-step explanation:

2 = (3)(18) + (6)(7)

54 + 42 = (9)(10) + 6

54 + 42 = 90 + 6

O 54 + 42 = 6(9 + 7)

Answer:

42÷(-6). 42÷(-7).

Step-by-step explanation:

Is this what you want?

Answer:

0.6

Step-by-step explanation:

In the question, we are told that:

The probability that John gets a B is 0.3 .

The probability that Mary gets a B is 0.4 .

The probability that neither gets an A but at least one gets a B is 0.1

The probability that at least one gets a B but neither gets a C

=( The probability that John gets a B ) +( The probability that Mary gets a B )- (The probability that neither gets an A but at least one gets a B is 0.1

= 0.3 + 0.4 - 0.1

= 0.7 - 0.1

= 0.6

Therefore, the probability that at least one gets a B but neither gets a C is 0.6

Supplementary angles = 180

X = 180 - 37

X = 143

Answer:

DIstrict 241 had 4 snow days.

Step-by-step explanation:

5 * 5 = 25

Add the ones you know

4 + 8 + 3 + 6 = 21

Then

25 - 21 = 4

So District 241 had 4 snow days.

I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.

The number of snow days of District 241 are 4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have to find the number of snow days of District 241

School District   District201    District211  District221  District231  District 241

Number of                      4               8                  3                  6                 ?

snow days

Mean of snow days is 5.

Mean =Sum of observations/Number of observations

5=4+8+3+6+x/5

25=21+x

Subtract 21 from both sides

x=4

Hence, the number of snow days of District 241 are 4.

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Answer:

2640 feet per minute

Step-by-step explanation:

.

|0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

To find the standardized test statistic (z) to test the hypothesis that p₁ = p₂, where p₁ and p₂ are the proportions of success in two independent samples, we can use the following formula:

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

where:

p₁ and p₂ are the sample proportions of success in the two samples.

p = (x₁ + x₂) / (n₁ + n₂) is the pooled proportion of success in both samples.

n₁ and n₂ are the sample sizes of the two samples.

x₁ and x₂ are the number of successes in the two samples.

Given the sample statistics:

n₁ = 50, x₁ = 35 (sample 1)

n₂= 60, x₂ = 40 (sample 2)

First, calculate the pooled proportion (p):

p = (x₁ + x₂) / (n₁ + n₂)

p = (35 + 40) / (50 + 60)

p = 75 / 110

p ≈ 0.6818

Now, calculate the standardized test statistic (z):

z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))

z = (35/50 - 40/60) / √(0.6818 * (1 - 0.6818) * ((1/50) + (1/60)))

z = (0.7 - 0.6667) / √(0.6818 * 0.3182 * (0.02 + 0.0167))

z = 0.0333 / √(0.1456 * 0.0367)

z = 0.0333 / √(0.00534272)

z = 0.0333 / 0.073068

z ≈ 0.4552

Now, compare the standardized test statistic (z) with the critical value at α = 0.05. Since this is a two-tailed test, the critical value is approximately ±1.96 (at a 5% significance level).

Since |0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.

Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.

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Assuming you meant to say P(A) = 2/5 and P(B|A) = 9/20, then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (2/5)*(9/20)

P(A∩B) = (2*9)/(5*20)

P(A∩B) = (2*9)/(5*2*10)

P(A∩B) = 9/(5*10)

The required probability P( A ∩ B ) = 2300.

To find the missing probability. P( A ) = 25, P( B | A ) = 920, P( A∩ B) = ?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

From properties of probability
P( A ∩ B ) / P(A) = P( B | A )
P( A ∩ B) = P( B | A ) .  P(A)
From given
P( A ) = 25, P( B | A ) = 920
P( A ∩ B ) = P( B | A ) .  P(A)
P( A ∩ B ) = 920 . 25
P( A ∩ B ) = 2300

Thus, the required probability P( A ∩ B ) = 2300 for P( A ) = 25, P( B | A ) = 920.

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Answer:

h=5

Step-by-step explanation:

h/8+12=52

12 dollars is what he originally starts with so it would be added with h.

Now, subtract 12 dollars from the 52 he wnats to end the day with.

52-12=40

Now take 40 and divide it 8

h=40/8

h=5

Hope that helps :)

Step-by-step explanation:

Terminating decimals: these have a finite number of digits after the decimal point.

Example: 9.5

Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

Example: 0.333333...

Answer:

Option D is the correct option.

Step-by-step explanation:

Given,

[tex] \sf{f(x) = - 2x + 5}[/tex]

To find : f ( - 3 )

Let's find:

[tex] \sf{f( - 3) = - 2 \times ( - 3) + 5}[/tex]

Calculate the product

[tex] \sf{ = 6 + 5}[/tex]

Add the numbers

[tex] \sf{ = 11}[/tex]

Hope I helped!

Best regards!!

Answer: f(-3) = 11

Step-by-step explanation: Here we're given the function

f(x) = -2x + 5 and we're asked to find f(-3).

In other words, if we put an x into our function, we get a -2x + 5 out.

So what happens when we put a -3 into the function?

Well if we put a -3 into the function,

that's f(-3), we get a -2(-3) + 5 out.

Now all we have to do is simplify on the right side,

-2(-3) is 6, so we have 6 + 5 which is 11.

So f(-3) is 11.

Answer:

31 pennies

Step-by-step explanation:

Given that:

Breaking the number of pennies into 2 groups, there is 1 penny left over.

Breaking the pennies into 3 groups, there is 1 penny left over.

Breaking the pennies into 5 groups, there is 1 penny left over.

Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.

So that;

31 = 15 + 15 + 1 =  2 groups + 1

31 = 10 + 10 + 10 + 1 = 3 groups + 1

31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1

There are 31 pennies.

Answer:

(n×n×n)(n×n×n)

Step-by-step explanation:

Expand the exponential function.

hope this helps :)

Answer:

There is no sufficient evidence to support the owner's  claim that he average attendance at games is over 523

Step-by-step explanation:

From the question we are told that

  The  population mean is [tex]\mu = 523[/tex]

Generally  

  The  null hypothesis is  [tex]H_o : \mu = 523[/tex]

   The  alternative hypothesis  [tex]H_a : \mu > 523[/tex] ( Original claim )

Given in the question that the conclusion is failure to reject the null hypothesis

  Then we can conclude that there is no sufficient evidence to support the owner's  claim that he average attendance at games is over 523

Note :  In every hypothesis test the null hypothesis must contain a equality sign and any other inequality sign

Step-by-step explanation:

2 cups of sugar =5 cups of flour

1 cup of sugar =x cups of flour

2x=5

x=5/2

Answer:

A 95% confidence interval for the population mean is [3315.13, 22480.87] .

Step-by-step explanation:

We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample proportion of defective items = 12,898

             s = sample standard deviation = 7,719

            n = sample size = 5

             [tex]\mu[/tex] = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.776 < [tex]t_4[/tex] < 2.776) = 0.95  {As the critical value of t at 4 degrees of

                                               freedom are -2.776 & 2.776 with P = 2.5%}  

P(-2.776 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.776) = 0.95

P( [tex]-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                = [ [tex]12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] , [tex]12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] ]

                               = [3315.13, 22480.87]

Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .

Answer:

C. [tex] \frac{6}{5} [/tex]

Step-by-step explanation:

The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.

Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as [tex] \frac{42}{35} [/tex]

The scale factor = [tex] \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5} [/tex]

Hi!

To find this, multiply 42, 21 and 360 first:

317520

Now, multiply 21 and 270:

5670

Now, divide 317520 by 5670:

56 days

(I've had problems like these before, this is how my teacher taught me to solve them. If you have any more trouble, try to use these steps!)

Hope this helps!

Answer:

(B) Between 6 and 9 minutes, Sameen's distance from work is decreasing

Step-by-step explanation:

Looking at the graph, we want to make sure we are looking at the right axis.

The x-axis, the horizontal one, is minutes.

The y-axis, the vertical one, is distance from work.

We can see that while x is between 6 and 9 minutes, the graph slopes downwards. This signifies a decrease in distance from work.

So between 6 and 9 minutes, Sameen's distance from work is decreasing.

Hope this helped!

Answer:

Between 6 and 9 minutes, Sameen's distance from work is decreasing

Step-by-step

Answer: your answer is D

Step-by-step explanation:

Answer:

the answer is x=15 cm

Step-by-step explanation:

here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm

Now,

AC=BD

or, 3x-20 = x+10 [ diagonals of a rectangle are equal]

or, 2x = 30

or, x= 15 cm

I HOPE IT WILL HELP YOU!!!

Answer:

Diffrent between altitude = 14,021 ft

Step-by-step explanation:

Given:

Heighest altitude = 14,309 ft

Lowest altitude = 288 ft

Find:

Diffrent between altitude

Computation:

Diffrent between altitude = Heighest altitude - Lowest altitude

Diffrent between altitude = 14,309 - 288

Diffrent between altitude = 14,021 ft

Answer:

There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)

Step-by-step explanation:

Given that:

The mean age of judges in Dallas is greater than 50.2 years.

If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:

The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2

i.e

[tex]H_o : \mu =50.2[/tex]

The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2

i.e

[tex]H_1 : \mu > 50.2[/tex]

Decision Rule: Fail to reject the null hypothesis.

The interpretation of this decision rule implies that:

There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)

Answer:  D

Step-by-step explanation:

It is D  because using the   equation  y=3x +3.25   you can see that the y intercept is 3.25   which means in zero years the child will weigh 3.25  or weighs 3.25 kg at birth.

Answer:

60 + 10h

Step-by-step explanation:

Since cleaning the house is a flat fixed cost ($60 no matter how long it takes), you dont use a variable to find it. For baby sitting on the other hand, the cost of it is reliant on how long you do it ($10 for every hours). Therefore you need to use a variable (h).

I hope this helps!

-TheBusinessMan

We will use the F.O.I.L method.

-multiplying the First terms,

-multiplying the Outer terms,

-multiplying the Inner terms,

-and multiplying the Last terms

So we have x² + 9x - 3x - 27 which simplifies to x² + 6x - 27.